Best proximity point results for MK-proximal contractions on ordered sets

被引：4
|
作者：
Jleli, Mohamed [1 ]
Samet, Bessem [1 ]
机构：
[1] King Saud Univ, Dept Math, Riyadh, Saudi Arabia
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2015年 / 17卷 / 02期
关键词：
Best proximity point; partially ordered set; metric space; MK-proximal contraction; fixed point; THEOREMS; CONVERGENCE; EXISTENCE;
D O I：
10.1007/s11784-013-0125-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss the existence and uniqueness of solutions to the minimization problem min(x is an element of A) d(x, Tx), where A, B are nonempty subsets of a partially ordered set X endowed with a metric d, and T : A -> B is a non-self-mapping satisfying a proximal contraction of Meir-Keeler type (MK-proximal contraction). An iterative algorithm is also provided to approximate the optimal solution. As particular cases of our obtained results, various fixed point theorems on a metric space endowed with a partial order are deduced.
引用
收藏
页码：439 / 452
页数：14
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